1
JEE Main 2021 (Online) 17th March Morning Shift
+4
-1
In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the three games. Which Venn diagrams can justify the above statement?

A
Q and R
B
None of these
C
P and R
D
P and Q
2
JEE Main 2021 (Online) 16th March Evening Shift
+4
-1
Let A = {2, 3, 4, 5, ....., 30} and '$$\simeq$$' be an equivalence relation on A $$\times$$ A, defined by (a, b) $$\simeq$$ (c, d), if and only if ad = bc. Then the number of ordered pairs which satisfy this equivalence relation with ordered pair (4, 3) is equal to :
A
5
B
6
C
8
D
7
3
JEE Main 2021 (Online) 16th March Morning Shift
+4
-1
The number of elements in the set {x $$\in$$ R : (|x| $$-$$ 3) |x + 4| = 6} is equal to :
A
4
B
2
C
3
D
1
4
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
Let R = {(P, Q) | P and Q are at the same distance from the origin} be a relation, then the equivalence class of (1, $$-$$1) is the set :
A
$$S = \{ (x,y)|{x^2} + {y^2} = \sqrt 2 \}$$
B
$$S = \{ (x,y)|{x^2} + {y^2} = 2\}$$
C
$$S = \{ (x,y)|{x^2} + {y^2} = 1\}$$
D
$$S = \{ (x,y)|{x^2} + {y^2} = 4\}$$
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